Slant lightlike submanifolds of indefinite Kenmotsu manifolds

Authors

RAM GUPTA
SHARFUDDIN AHAMAD

DOI

10.3906/mat-0906-52

Abstract

In this paper, we introduce the notion of a slant lightlike submanifold of an indefinite Kenmotsu manifold. We provide a non-trivial example and obtain necessary and sufficient conditions for the existence of a slant lightlike submanifold. Also, we give an example of a minimal slant lightlike submanifold of R_2^{9} and prove some characterization theorems.

Keywords

Degenerate metric, Slant lightlike submanifolds, Kenmotsu manifold

First Page

115

Last Page

127

Recommended Citation

GUPTA, RAM and AHAMAD, SHARFUDDIN (2011) "Slant lightlike submanifolds of indefinite Kenmotsu manifolds," Turkish Journal of Mathematics: Vol. 35: No. 1, Article 10. https://doi.org/10.3906/mat-0906-52
Available at: https://journals.tubitak.gov.tr/math/vol35/iss1/10